Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10.1, Problem 2E
Consider the following hypothesis test.
The following results are for two independent samples taken from the two populations.
| Sample 1 | Sample 2 |
| n1 = 40 | n2 = 50 |
|
|
|
| σ1 = 5.2 | σ2 = 6.0 |
- a. What is the value of the test statistic?
- b. What is the p-value?
- c. With α = .05, what is your hypothesis testing conclusion?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Consider the following two formulations of the bivariate PRF, where ui and εi are both mean-0 stochastic disturbances (i.e random errors):
yi = β0 + β1xi + u
yi = α0 + α1(xi − x¯) + ϵ
a) Write the OLS estimators of β1 and α1. Are the two estimators the same?
b) What is the advantage, if any, of the second model over the first?
Which of the following is the correct null hypothesis for a dependent samples t test?
a.
MD = 0
c.
µ1 = µ2
b.
µD = 0
d.
M1 = M2
Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are for two independent samples taken from the two populations.
Sample 1
Sample 2
n1 = 70
n2 = 80
x1 = 106
x2 = 108
σ1 = 8.4
σ2 = 7.6
(a) With α = 0.01, using the p-value approach, what is your hypothesis testing conclusion? Why? Explain
Chapter 10 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 10.1 - The following results come from two independent...Ch. 10.1 - 2. Consider the following hypothesis test.
The...Ch. 10.1 - 3. Consider the following hypothesis test.
The...Ch. 10.1 - 4. Condé Nast Traveler conducts an annual survey...Ch. 10.1 - 5. The USA Today reports that the average...Ch. 10.1 - Hotel Price Comparison. Suppose that you are...Ch. 10.1 - Consumer Reports uses a survey of readers to...Ch. 10.1 - Prob. 8ECh. 10.2 - The following results are for independent random...Ch. 10.2 - Consider the following hypothesis test:
The...
Ch. 10.2 - Consider the following data for two independent...Ch. 10.2 - Prob. 12ECh. 10.2 - Annual Cost of College. The increasing annual cost...Ch. 10.2 - Are nursing salaries in Tampa, Florida, lower than...Ch. 10.2 - Prob. 15ECh. 10.2 - Effect of Parents’ Education on Student SAT...Ch. 10.2 - Comparing Financial Consultant Ratings....Ch. 10.2 - Researchers at Purdue University and Wichita State...Ch. 10.3 - Consider the following hypothesis test.
The...Ch. 10.3 - The following data are from matched samples taken...Ch. 10.3 - Prob. 21ECh. 10.3 - The price per share of stock for a sample of 25...Ch. 10.3 - Credit Card Expenditures. Bank of America’s...Ch. 10.3 - Domestic Airfare. The Global Business Travel...Ch. 10.3 - Prob. 25ECh. 10.3 - PGA Tour Scores. Scores in the first and fourth...Ch. 10.3 - Price Comparison of Smoothie Blenders. A personal...Ch. 10.4 - Consider the following results for independent...Ch. 10.4 - Prob. 29ECh. 10.4 - Corporate Hiring Outlook. A Businessweek/Harris...Ch. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Chicago OHare and Atlanta Hartsfield-Jackson are...Ch. 10.4 - Prob. 34ECh. 10.4 - In a test of the quality of two television...Ch. 10.4 - Winter visitors are extremely important to the...Ch. 10.4 - Prob. 37ECh. 10 - Prob. 38SECh. 10 - Prob. 39SECh. 10 - Prob. 40SECh. 10 - Kitchen Versus Bedroom Remodeling Costs. The...Ch. 10 - In early 2009, the economy was experiencing a...Ch. 10 - Country Financial, a financial services company,...Ch. 10 - Prob. 44SECh. 10 - Prob. 45SECh. 10 - Prob. 46SECh. 10 - For the week ended January 15, 2009, the bullish...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 70 n2 = 80 x1 = 106 x2 = 108 σ1 = 8.4 σ2 = 7.6 (a) What is the p-value? (Round your answer to four decimal places. show work not done on calculator) (b) With α = 0.01, using the p-value approach, what is your hypothesis testing conclusion? Why? Explainarrow_forwardLet n1=40, X1=10, n2=40, and X2=20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≥π2 H1: π1<π2 C. H0: π1≠π2 H1: π1=π2 D. H0: π1=π2 H1: π1≠π2 Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is ? (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. The p-value is ? (Type an integer or a decimal. Round to three decimal places as needed.) b. Construct a 95% confidence interval estimate of the difference between the two population proportions. ?≤π1−π2≤? (Type integers or decimals. Round to four decimal places as needed.)arrow_forwardWhich of the following is a Null hypothesis for a paired-samples t-test? μd = 0 μd = X μ1 ≠ μ2 μ1 = μ2arrow_forward
- In each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to Table to determine the strength of the evidence against the null hypothesis. P-value Evidence against H0 P > 0.10 Weak or none 0.05 < P ≤ 0.10 Moderate 0.01 < P ≤ 0.05 Strong P ≤ 0.01 Very strong P = 0.012arrow_forwardThe P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06arrow_forwardIn Exercises, the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level. Ha: µ1< µ2 Observation from Pair Population 1 Population 2 1 7 13 2 4 9 3 10 6 4 0 2 5 20 19 6 -1 5 7 12 10arrow_forward
- If you have a hypothesis test with alpha = 0.04, which of the following P-Values does NOT imply statistical significance? 0.015 0.008 0.034 0.175arrow_forwardSuppose a linear model y=β0+β1xy=β0+β1x is fit to a sample data set, and a test of the null hypothesis H0:β1=0H0:β1=0 against an alternative hypothesis HA:β1≠0HA:β1≠0 is performed; a PP-value of 0.4203 is obtained. Which of the following scatter plots depicts the data set on which this model was fit and the hypothesis test was performed?arrow_forwardIn Exercises, the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level. Ha: µ1 ≠ µ2 Observation from Pair Population 1 Population 2 1 13 11 2 16 15 3 13 10 4 14 8 5 12 8 6 8 9 7 17 14arrow_forward
- In each of Exercises the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from independent simple random samples from the two populations under consideration. In each case, use the Mann– Whitney test to perform the required hypothesis test at the 10% significance level Ha: µ1< µ2 Sample 1 Sample 2 5 1 5 8 7 5 10 7 6 6 11arrow_forwardThe major of a very small town wants to compare the number of flu cases that she has in her town(a sample) to the number of flu cases nation wide (the population) to see differ. What is the null hypothesis for the scenario? A)Ho: r=0 B)Ho:u1=u2 C)Ho:X=u D)Ho: u1=u2=u3arrow_forwardIn each of Exercises the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from independent simple random samples from the two populations under consideration. In each case, use the Mann– Whitney test to perform the required hypothesis test at the 10% significance level Ha: µ1 ≠ µ2 Sample 1 Sample 2 8 2 4 7 8 8 14 6 14 10arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License